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A245351
Sum of digits of n written in fractional base 10/7.
0
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 21, 22, 23, 24, 25, 26, 27, 28
OFFSET
0,3
COMMENTS
The base 10/7 expansion is unique and thus the sum of digits function is well-defined.
FORMULA
a(n) = A007953(A024662(n)).
EXAMPLE
In base 10/7 the number 14 is represented by 74 and so a(14) = 7 + 4 = 11.
PROG
(Sage) # uses [basepqsum from A245355]
[basepqsum(10, 7, w) for w in [0..200]]
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Hailey R. Olafson, Jul 18 2014
STATUS
approved